Acronym sibcotdin
Name small biprismatocellitriacontadiadispenteract
Field of sections
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Circumradius sqrt[33+12 sqrt(2)]/2 = 3.534493
Vertex figure
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Coordinates ((1+3 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army cogart
Colonel of regiment cogart
External
links
hedrondude  

As abstract polytope sibcotdin is isomorphic to gibcotdin, thereby replacing octagons by octagrams, resp. op by stop, girco by quitco, and socco by gocco, resp. gidpith by gaquidpoth, soccope by goccope, and sichado by gichado.


Incidence matrix according to Dynkin symbol

x3x3x3o4/3x4*c

. . . .   .    | 1920 |   1   1    2    2 |   1   2   2   2   2   1   2   1 |   2   2   1   2   1   1  2   1  1 |  1  2  1  1  1
---------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x . . .   .    |    2 | 960   *    *    * |   1   2   2   0   0   0   0   0 |   2   2   1   2   1   0  0   0  0 |  1  2  1  1  0
. x . .   .    |    2 |   * 960    *    * |   1   0   0   2   2   0   0   0 |   2   2   0   0   0   1  2   1  0 |  1  2  1  0  1
. . x .   .    |    2 |   *   * 1920    * |   0   1   0   1   0   1   1   0 |   1   0   1   1   0   1  1   0  1 |  1  1  0  1  1
. . . .   x    |    2 |   *   *    * 1920 |   0   0   1   0   1   0   1   1 |   0   1   0   1   1   0  1   1  1 |  0  1  1  1  1
---------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x3x . .   .    |    6 |   3   3    0    0 | 320   *   *   *   *   *   *   * |   2   2   0   0   0   0  0   0  0 |  1  2  1  0  0
x . x .   .    |    4 |   2   0    2    0 |   * 960   *   *   *   *   *   * |   1   0   1   1   0   0  0   0  0 |  1  1  0  1  0
x . . .   x    |    4 |   2   0    0    2 |   *   * 960   *   *   *   *   * |   0   1   0   1   1   0  0   0  0 |  0  1  1  1  0
. x3x .   .    |    6 |   0   3    3    0 |   *   *   * 640   *   *   *   * |   1   0   0   0   0   1  1   0  0 |  1  1  0  0  1
. x . .   x    |    4 |   0   2    0    2 |   *   *   *   * 960   *   *   * |   0   1   0   0   0   0  1   1  0 |  0  1  1  0  1
. . x3o   .    |    3 |   0   0    3    0 |   *   *   *   *   * 640   *   * |   0   0   1   0   0   1  0   0  1 |  1  0  0  1  1
. . x .   x4*c |    8 |   0   0    4    4 |   *   *   *   *   *   * 480   * |   0   0   0   1   0   0  1   0  1 |  0  1  0  1  1
. . . o4/3x    |    4 |   0   0    0    4 |   *   *   *   *   *   *   * 480 |   0   0   0   0   1   0  0   1  1 |  0  0  1  1  1
---------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x3x3x .   .       24 |  12  12   12    0 |   4   6   0   4   0   0   0   0 | 160   *   *   *   *   *  *   *  * |  1  1  0  0  0
x3x . .   x       12 |   6   6    0    6 |   2   0   3   0   3   0   0   0 |   * 320   *   *   *   *  *   *  * |  0  1  1  0  0
x . x3o   .        6 |   3   0    6    0 |   0   3   0   0   0   2   0   0 |   *   * 320   *   *   *  *   *  * |  1  0  0  1  0
x . x .   x4*c    16 |   8   0    8    8 |   0   4   4   0   0   0   2   0 |   *   *   * 240   *   *  *   *  * |  0  1  0  1  0
x . . o4/3x        8 |   4   0    0    8 |   0   0   4   0   0   0   0   2 |   *   *   *   * 240   *  *   *  * |  0  0  1  1  0
. x3x3o   .       12 |   0   6   12    0 |   0   0   0   4   0   4   0   0 |   *   *   *   *   * 160  *   *  * |  1  0  0  0  1
. x3x .   x4*c    48 |   0  24   24   24 |   0   0   0   8  12   0   6   0 |   *   *   *   *   *   * 80   *  * |  0  1  0  0  1
. x . o4/3x        8 |   0   4    0    8 |   0   0   0   0   4   0   0   2 |   *   *   *   *   *   *  * 240  * |  0  0  1  0  1
. . x3o4/3x4*c    24 |   0   0   24   24 |   0   0   0   0   0   8   6   6 |   *   *   *   *   *   *  *   * 80 |  0  0  0  1  1
---------------+------+-------------------+---------------------------------+-----------------------------------+---------------
x3x3x3o   .       60 |  30  30   60    0 |  10  30   0  20   0  20   0   0 |   5   0  10   0   0   5  0   0  0 | 32  *  *  *  *
x3x3x .   x4*c   384 | 192 192  192  192 |  64  96  96  64  96   0  48   0 |  16  32   0  24   0   0  8   0  0 |  * 10  *  *  *
x3x . o4/3x       24 |  12  12    0   24 |   4   0  12   0  12   0   0   6 |   0   4   0   0   3   0  0   3  0 |  *  * 80  *  *
x . x3o4/3x4*c    48 |  24   0   48   48 |   0  24  24   0   0  16  12  12 |   0   0   8   6   6   0  0   0  2 |  *  *  * 40  *
. x3x3o4/3x4*c   192 |   0  96  192  192 |   0   0   0  64  96  64  48  48 |   0   0   0   0   0  16  8  24  8 |  *  *  *  * 10

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